Finding the Third Proportional to 697.50 and 1,025.25

Step by Step Solution

1. Step 1: Write the proportion equation
   697.50 : 1,025.25 = 1,025.25 : x
2. Step 2: Convert to fraction form
   697.50/1,025.25 = 1,025.25/x
3. Step 3: Cross multiply
   697.50x = 1,025.25 × 1,025.25
4. Step 4: Simplify right side
   697.50x = 1,051,137.56
5. Step 5: Solve for x
   x = 1,051,137.56/697.50
6. Step 6: Final answer
   x = 1,507.01